The Operator Hilbert Space Oh Complex Interpolation And Tensor Norms
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The Operator Hilbert Space Oh Complex Interpolation And Tensor Norms
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Author : Gilles Pisier
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
The Operator Hilbert Space Oh Complex Interpolation And Tensor Norms written by Gilles Pisier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banach space can be embedded isometrically into [italic capital]B([italic capital]H) (with H being Hilbert). One of the main results is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (which we denote by [italic capitals]OH) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces.
Tensor Products Of C Algebras And Operator Spaces
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-27
Tensor Products Of C Algebras And Operator Spaces written by Gilles Pisier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-27 with Mathematics categories.
Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.
Mixed Norm Inequalities And Operator Space L P Embedding Theory
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Author : Marius Junge
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Mixed Norm Inequalities And Operator Space L P Embedding Theory written by Marius Junge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.
Handbook Of The Geometry Of Banach Spaces
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Author :
language : en
Publisher: Elsevier
Release Date : 2003-05-06
Handbook Of The Geometry Of Banach Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-06 with Mathematics categories.
Handbook of the Geometry of Banach Spaces
Completely Bounded Maps And Operator Algebras
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Author : Vern Paulsen
language : en
Publisher: Cambridge University Press
Release Date : 2002
Completely Bounded Maps And Operator Algebras written by Vern Paulsen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
In this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.
Quantum Functional Analysis
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Author : Aleksandr I︠A︡kovlevich Khelemskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Quantum Functional Analysis written by Aleksandr I︠A︡kovlevich Khelemskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Interpreting ""quantized coefficients"" as finite rank operators in a fixed Hilbert space allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject.
Canadian Mathematical Bulletin
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Author :
language : en
Publisher:
Release Date : 1995-09
Canadian Mathematical Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09 with categories.
Introduction To Operator Space Theory
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-25
Introduction To Operator Space Theory written by Gilles Pisier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-25 with Mathematics categories.
The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a Banach space with an embedding into the space B(H) of all bounded operators on a Hilbert space H. The first part of this book is an introduction with emphasis on examples that illustrate various aspects of the theory. The second part is devoted to applications to C*-algebras, with a systematic exposition of tensor products of C*-algebras. The third (and shorter) part of the book describes applications to non self-adjoint operator algebras, and similarity problems. In particular the author's counterexample to the 'Halmos problem' is presented, as well as work on the new concept of 'length' of an operator algebra. Graduate students and professional mathematicians interested in functional analysis, operator algebras and theoretical physics will find that this book has much to offer.
Quantum Potential Theory
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Author : Philippe Biane
language : en
Publisher: Springer
Release Date : 2008-10-16
Quantum Potential Theory written by Philippe Biane and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-16 with Mathematics categories.
This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.
Operator Theory In Harmonic And Non Commutative Analysis
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Author : Joseph A. Ball
language : en
Publisher: Springer
Release Date : 2014-06-21
Operator Theory In Harmonic And Non Commutative Analysis written by Joseph A. Ball and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-21 with Mathematics categories.
This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.